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The probability that a student is not a swimmer is 1/5. Then the probability that out of the five students, four are...
The probability that a student is not a swimmer is 1/5. Then the probability that out of the five students, four are swimmers, is ?
A
None of these
B
5C4.(4/5)1.(1/5)4
C
(4/5)4.(1/5)1
D
5C4.(4/5)2.(1/5)1
E
5C4.(4/5)4.(1/5)1
A
None of these
B
5C4.(4/5)1.(1/5)4
C
(4/5)4.(1/5)1
D
5C4.(4/5)2.(1/5)1
E
5C4.(4/5)4.(1/5)1
Solution
The probability that a student is not a swimmer is = p = 1/5The probability that a student is a swimmer is = q =...
The probability that a student is not a swimmer is = p = 1/5
The probability that a student is a swimmer is = q = 1 − 1/5 = 4/5
Probability(four students are swimmers) = P(X = 4)
P(X = 4) = 5C4(4/5)4 (1/5)5 − 4
= 5C4.(4/5)4.(1/5)1
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Solution
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Keynote
Binomial Distribution:P(X = r) = nCr.pr.(1-p)n-rwhere,n = Number of eventsr = Number of successful events.p =...
Binomial Distribution:
P(X = r) = nCr.pr.(1-p)n-r
where,
n = Number of events
r = Number of successful events.
p = Probability of success on a single trial.
nCr = (n!/(n-r)!) / r!
1-p = Probability of failure.
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